The phrase "curled one's lip at" is an idiom that describes a gesture of contempt or disapproval. Some antonyms for this expression may include smiling, approving, or praising. When someone is happy or impressed, they may smile or nod in agreement instead of curling their lip. Similarly, when someone likes or appreciates something, they may praise or approve it, rather than showing dissatisfaction or disdain. Other antonyms for "curling one's lip at" may include complimenting, admiring, applauding, or accepting. These words describe positive reactions rather than negative ones, which contradict the meaning of the original phrase.